Clarkson Calculus Readiness Test 18P
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1. Find an equation for the line through the point (1,-7) with slope -2.
2. Expand (2x + 3)2.
3. Rewrite using fractional exponents and simplify 
4. Sketch the graph of y = x3 for –2 < x < 2. Label the scales on the axes.
5. At what value of x does the line 2x + 3y = 7 intersect the line y = 1?
6. Factor the polynomial 
, given that x = 1 is a root.
7. Solve 128 + 16t – 16t2 = 0.
8. Sketch the graph of y = cos(x)� for –5 < x < 5.� Label the scales on the axes.
9. If cos(A) = -0.6, and 0 < A < 
, find the numerical values of sin(A)
and tan (A).
10. The short leg of a 30-60-90 triangle measures 7 cm.� How long are the long leg and the hypotenuse?
11. Solve 2x + 7 > 3� for x.
12. Find the surface area of a cylindrical can with diameter 3 inches and height 6 inches.
13. 
14. Find the numerical value of 
.
15. Complete the square: x2 + 4x + 1.
16. Solve for all values of� x:� 
.
17. A poster with dimensions L by W is to be made with these specifications:� margins of one inch on each side; printed area inside the margins 180 sq. in.� Find a formula that gives the length in terms of the width.
18. If the length of the poster is to be twice the width, find the dimensions of the poster.